Answer:
33 and 57
Explanation:
The measure of one angle is 24 degrees greater than the measure of its complement. what are the measures of the angles?
angle 1 (A)= x
angle 2 (B) = x + 24
Complementary angles sum to 90 degrees so:
A + B = 90
substitute in:
x + x + 24 = 90
subtract 24 from both sides:
x + x + 24 - 24 = 90 - 24
x + x = 66
combine left side:
2x = 66
divide both sides by 2:
2x/2 = 66/2
x = 33
so the two angles are 33 and 33 + 24 = 57